Question

Decimal:
Write the product of \[2.143\] and \[0.123\].

Answer 1

Hint: Here we need to find the product of the given two decimals. We will first multiply these two decimal numbers assuming them as the whole numbers and then we will place the decimal point in the product such that the resultant decimal number will contain three decimal digits.

Complete step-by-step answer:
Here we need to find the product of two decimal numbers i.e. \[2.143\] and \[0.123\].
Since there are two decimal digits in the first decimal number i.e. \[2.143\] and three decimal digits in second decimal number i.e. \[0.123\]. Therefore, there must be six decimal digits in their product.
Now, we will multiply the decimal numbers \[2.143\] and \[0.123\] assuming them as the whole numbers by ignoring their decimal points.
 \[2143 \times 0123 = 263589\]
Now, we will compensate by placing the decimal numbers in the product and we know that the product will contain six decimal digits in the product of these two numbers. So we will place the decimal point six digits before.
 \[ \Rightarrow 2.143 \times 0.123 = 0.263589\]
Hence, the required product of these two decimal numbers i.e. product of \[2.143\] and \[0.123\] is equal to \[0.263589\].

Note: Since we have obtained the product of two decimal numbers. The decimal number is defined as a number whose whole number part and the fractional are separated by a decimal point. The dot used in a decimal number is known as a decimal point. Always remember that the digits after the decimal point show a value smaller than one. Decimal can also be represented in the form of fractions.